Atkin-Lehner |
2+ 3+ 7+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
128478a |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14224896 |
Modular degree for the optimal curve |
Δ |
-2.2351284378708E+23 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 2 -1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,8609422,20566911156] |
[a1,a2,a3,a4,a6] |
j |
12242251590321245591/38771996429205504 |
j-invariant |
L |
0.84331043850316 |
L(r)(E,1)/r! |
Ω |
0.070275825124588 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128478bo1 |
Quadratic twists by: -7 |